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Vector Algebra question

2025 · 24 Jan · Shift 1 · Q38

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JEE Main
Mathematics
Vector Algebra
2025 · 24 Jan · Shift 1 · Q38

Vector Algebra question

2025 · 24 Jan · Shift 1 · Q38

JEE MainMathematicsVector AlgebraMCQ+4 / −1

Let

\vec{a}=\hat{i}+2 \hat{j}+3 \hat{k}, \vec{b}=3 \hat{i}+\hat{j}-\hat{k}

and

\vec{c}

be three vectors such that

\vec{c}

is coplanar with

\vec{a}

and

\vec{b}

. If the vector

\vec{C}

is perpendicular to

\vec{b}

and

\vec{a} \cdot \vec{c}=5

, then

|\vec{c}|

is equal to

A
$\sqrt{\frac{11}{6}}$
B
$\frac{1}{3 \sqrt{2}}$
C
18
D
16

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